SOLUTION:-
a). calculation of NPV
Calculations:-
1). old oven
orginal cost =$100000
current market price = $50000
expected life =15 years
depreciation per year =$100000/15 years
=$6667 per year
accumulated depreciation = $6667 * 10 (age of oven)
= $66670
book value =orginal cost - accumulated depreciation
= $100000- $66670
= $33330
gain on sale of old oven = market rate - book value
=$50000- $33330
= $16670
taxable amount on gain = $16670 * .21 (tax rate)
= $3500
net cash flow from sale of old oven = market vaue of oven - taxable amount on gain
=$50000- $3500
= $46500
2). depreciation
depreciation of old oven = $6667 per year
depreciation of new oven is calculated as follows:-
purchase price of new oven =$125000
expected life =5 year
depreciation per year =$125000/5 years
=$25000 per year
Net incremental depreciation = d epreciation of new oven - depreciation of old oven
= $25000 - $6667
=$18333
Net incremental depreciation tax shield = $18333 * .21 (tax rate)
= $3850
c). After- tax expected cash inflow from operation
= expected cash savings * (1- tax rate)
=$25000 * (1-.21)
=$19750
d). After- tax expected cash inflow from sale of new oven
after tax cash inflow = price * (1- tax rate)
= $10000 * (1-.21)
= $7900
year0 | year 1 | year 2 | year3 | year4 | year5 | |
Initial Investment in Equipment | (125000) | |||||
decrease in working capital | $10000 | |||||
Cash received from the disposal of old oven | $46500 | |||||
release of working capital | (10000) | |||||
After-Tax CF from Operations | $19750 | $19750 | $19750 | $19750 | $19750 | |
Depreciation Tax Shield | $3850 | $3850 | $3850 | $3850 | $3850 | |
after-tax cash flow from the sale of new oven | $7900 | |||||
Total After Tax Cash Flows | ($68500) | $23600 | $23600 | $23600 | $23600 | $21500 |
PV of $1 Factor for 8.25% | 1 | .924 | .853 | .789 | .728 | .673 |
Discounted Cash Flow | ($68500) | $21806 | $20131 | $18620 | $17181 | $14470 |
NPV = Sum of discounted net cash inflows – initial investment
NPV = (21806+20131+18620+17181+14470)-68500
NPV = $92208 - $68500
NPV = $23708
b). Disco Volante, Inc. Company should purchase the new comercial oven because the net advantage of purchasing is $23708. In other words,Disco Volante Company’s net present value will increase by $23708 if it purchases the newnew comercial oven.
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